13106005872301 has 2 divisors, whose sum is σ = 13106005872302. Its totient is φ = 13106005872300.

The previous prime is 13106005872293. The next prime is 13106005872319. The reversal of 13106005872301 is 10327850060131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13070386859401 + 35619012900 = 3615299^2 + 188730^2 .

It is a cyclic number.

It is not a de Polignac number, because 13106005872301 - 2³ = 13106005872293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13106005872361) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6553002936150 + 6553002936151.

It is an arithmetic number, because the mean of its divisors is an integer number (6553002936151).

Almost surely, 2^{13106005872301} is an apocalyptic number.

It is an amenable number.

13106005872301 is a deficient number, since it is larger than the sum of its proper divisors (1).

13106005872301 is an equidigital number, since it uses as much as digits as its factorization.

13106005872301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 13106005872301 in words is "thirteen trillion, one hundred six billion, five million, eight hundred seventy-two thousand, three hundred one".